document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452320>Question 452320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 0.3x-0.2y=4<BR>\n" );
document.write( "0.2x+0.3y=-37/17<BR>\n" );
document.write( "Solve by elimination.\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Missy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311005 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=311005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 0.3x - 0.2y = 4<BR>\n" );
document.write( "0.2x + 0.3y = -37/17<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let's clean up these equations:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 1st equation by 10<BR>\n" );
document.write( "3x - 2y = 40<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 2nd equation by 17, results<BR>\n" );
document.write( "3.4x + 5.1y = -37<BR>\n" );
document.write( "multiply by 10<BR>\n" );
document.write( "34x + 51y = -370<BR>\n" );
document.write( ":<BR>\n" );
document.write( "They want elimination multiply the 1st equation by 51, the 2nd equation by 2, results:<BR>\n" );
document.write( "153x - 102y = 2040<BR>\n" );
document.write( " 68x + 102y = -740<BR>\n" );
document.write( "-----------------------addition eliminates y, find x<BR>\n" );
document.write( "221x + 0 = 1300<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1300%2F221 ALIGN=MIDDLE  ALT=\"1300%2F221\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "reduces to<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F17 ALIGN=MIDDLE  ALT=\"100%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find y using the 2nd original equation<BR>\n" );
document.write( "0.2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F17 ALIGN=MIDDLE  ALT=\"100%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 0.3y = -37/17<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F17 ALIGN=MIDDLE  ALT=\"20%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 0.3y = -37/17<BR>\n" );
document.write( ".3y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-37%2F17 ALIGN=MIDDLE  ALT=\"-37%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F17 ALIGN=MIDDLE  ALT=\"20%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".3y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-57%2F17 ALIGN=MIDDLE  ALT=\"-57%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F10 ALIGN=MIDDLE  ALT=\"3%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-57%2F17 ALIGN=MIDDLE  ALT=\"-57%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-57%2F17 ALIGN=MIDDLE  ALT=\"-57%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-570%2F51 ALIGN=MIDDLE  ALT=\"-570%2F51\"   DISABLED_style= \"max-width:90%; height:auto;\" > reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-190%2F17 ALIGN=MIDDLE  ALT=\"-190%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solutions in the 1st original equation<BR>\n" );
document.write( "0.3x - 0.2y = 4<BR>\n" );
document.write( ".3*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F17 ALIGN=MIDDLE  ALT=\"100%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > - .2*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-190%2F17 ALIGN=MIDDLE  ALT=\"-190%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F17 ALIGN=MIDDLE  ALT=\"30%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > + .<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%2F17 ALIGN=MIDDLE  ALT=\"38%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68%2F17 ALIGN=MIDDLE  ALT=\"68%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = 4; confirms our solution on this nasty problem<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F17 ALIGN=MIDDLE  ALT=\"100%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-190%2F17 ALIGN=MIDDLE  ALT=\"-190%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );